问一道数学题(关于导数的)已知函数f(x)=ax^4lnx+bx^4-c (x>0),在x=1处取极值-3-c.其中a,b,c是常数,(1) 试确定a,b的值(2) 讨论f(x)的单调区间(3) 若对任意的x>0,不等式f(x)≥-2c²恒成立,求c
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![问一道数学题(关于导数的)已知函数f(x)=ax^4lnx+bx^4-c (x>0),在x=1处取极值-3-c.其中a,b,c是常数,(1) 试确定a,b的值(2) 讨论f(x)的单调区间(3) 若对任意的x>0,不等式f(x)≥-2c²恒成立,求c](/uploads/image/z/3859603-43-3.jpg?t=%E9%97%AE%E4%B8%80%E9%81%93%E6%95%B0%E5%AD%A6%E9%A2%98%EF%BC%88%E5%85%B3%E4%BA%8E%E5%AF%BC%E6%95%B0%E7%9A%84%EF%BC%89%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3Dax%5E4lnx%2Bbx%5E4-c+%28x%EF%BC%9E0%29%2C%E5%9C%A8x%3D1%E5%A4%84%E5%8F%96%E6%9E%81%E5%80%BC-3-c.%E5%85%B6%E4%B8%ADa%2Cb%2Cc%E6%98%AF%E5%B8%B8%E6%95%B0%2C%EF%BC%881%EF%BC%89+%E8%AF%95%E7%A1%AE%E5%AE%9Aa%2Cb%E7%9A%84%E5%80%BC%EF%BC%882%EF%BC%89+%E8%AE%A8%E8%AE%BAf%28x%29%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4%EF%BC%883%EF%BC%89+%E8%8B%A5%E5%AF%B9%E4%BB%BB%E6%84%8F%E7%9A%84x%EF%BC%9E0%2C%E4%B8%8D%E7%AD%89%E5%BC%8Ff%28x%29%E2%89%A5-2c%26sup2%3B%E6%81%92%E6%88%90%E7%AB%8B%2C%E6%B1%82c)
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